Discrete Mathematics

Discrete mathematics is the study of mathematical structures that can be considered 'discrete' (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than 'continuous' (analogously to continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in 'continuous mathematics' such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets[5] (finite sets or sets with the same cardinality as the natural numbers). However, there is no exact definition of the term 'discrete mathematics'.Covers combinatorics, graph theory, applications of probability. Roughly includes material in ACM Subject Classes G.2 and G.3.

相关学科： Data Structures and AlgorithmsComputational GeometryComputational ComplexityFormal Languages and Automata TheoryInformation TheoryLogic in Computer ScienceSymbolic ComputationSocial and Information NetworksComputer Science and Game TheoryOther Computer Science

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